Residual Fisher Information in Measurement-Error Uncertainty

2026-09-28 · arXiv Quantum Physics

arXiv:2609.31311v1 Announce Type: new

Abstract: Measurement error in the Watanabe-Sagawa-Ueda formulation is the excess estimation error of a classical record over the quantum statistical limit. We show that, at the quantum-instrument level, this excess has an exact decomposition. The record-only error matrix equals a residual-aware error matrix plus a positive Schur-complement term fixed by Fisher information left in the unread post-measurement system. Thus measurement error separates into intrinsic instrument loss and record-restriction loss

原文链接：https://arxiv.org/abs/2609.31311

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